caa a22 4500 469099895 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF00406550 doi (NATIONALLICENCE)springer-10.1007/BF00406550 Chantelau Klaus Technische Universitat Berlin, Fachbereich 3, Mathematik, strasse des 17 Juni 136, D-1000, Berlin 12, Germany aut On the Born-Oppenheimer approximation for excited states of polyatomic Schrödinger operators [Elektronische Daten] [Klaus Chantelau] In this Letter, excited states of polyatomic molecular Schrödinger operators are investigated with the help of the Born-Oppenheimer approximation. The ratio of electronic and nuclear mass plays the role of a semi-classical parameter h 2. Asymptotic series of eigenvalues at the bottom of the spectrum are constructed up to any order in h. Mathematically, this leads to the discussion of the semi-classical limit of pseudo-differential operators with the principal symbol po(x,ξ) = ξ 2 + λ, where λ has a degenerate minimum (a whole manifold). Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 25/3(1992-07-01), 227-238 0377-9017 25:3<227 1992 25 11005 https://doi.org/10.1007/BF00406550 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00406550 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chantelau Klaus Technische Universitat Berlin, Fachbereich 3, Mathematik, strasse des 17 Juni 136, D-1000, Berlin 12, Germany aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 25/3(1992-07-01), 227-238 0377-9017 25:3<227 1992 25 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer